The Rate of Monotone Spline Approximation in the $L_p $-Norm

DOI10.1137/0513060zbMath0516.41010OpenAlexW2024418383MaRDI QIDQ3663770

Hrushikesh N. Mhaskar, Dany Leviatan

Publication date: 1982

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0513060

zbMATH Keywords

moduli of smoothnessequally spaced knotsJackson type estimatesmonotone nondecreasing functionsmonotonically nondecreasing splines

Mathematics Subject Classification ID

Approximation with constraints (41A29) Rate of convergence, degree of approximation (41A25) Spline approximation (41A15)

Related Items (7)

Weighted polynomials, radial basis functions and potentials on locally compact spaces ⋮ Positive and copositive spline approximation in \(L_ p[0,1\)] ⋮ Comonotone approximation by splines of piecewise monotone functions ⋮ Calculus of higher order modulus of smoothness for convex functions of higher order and applications ⋮ Weak copositive and interwining approximation ⋮ On equivalence of moduli of smoothness ⋮ Univariate splines: Equivalence of moduli of smoothness and applications

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